Yazar "Uysal, Gümrah" seçeneğine göre listele

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    Öğe
    On Convergence of Partial Derivatives of Multidimensional Convolution Operators
    (Murat TOSUN, 2021) Uysal, Gümrah; Yılmaz, Başar
    In this paper, we prove some results on convergence properties of higher order partial derivatives of multidimensional convolution-type singular integral operators being applied to the class of functions which are integrable in the sense of Lebesgue. © MSAEN.
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    Öğe
    Reconstruction of two approximation processes in order to reproduce eax and e2ax, a>0
    (Element, 2021) Yılmaz, Başar; Uysal, Gümrah; Aral, Ali
    We propose two modifications for Gauss-Weierstrass operators and moment-type operators which fix e(ax) and e(2ax) with a> 0. First, we present moment identities for new operators. Then, we discuss weighted approximation and prove Voronovskaya-type theorems for them in exponentially weighted spaces. Using modulus of continuity in exponentially weighted spaces, we obtain some global smoothness preservation properties. We give a comparison result for Gauss-Weierstrass operators. Finally, we provide some graphical illustrations that show that modified operators perform better than classical ones.